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Finding the Fourth Proportional to 15,115.62, 22,640.58 and 7,308

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Solution

The fourth proportional to 15,115.62, 22,640.58 and 7,308 is: 10,946.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,115.62 : 22,640.58 = 7,308 : x
  2. Step 2: Convert to fraction form
    15,115.62/22,640.58 = 7,308/x
  3. Step 3: Cross multiply
    15,115.62x = 22,640.58 × 7,308
  4. Step 4: Simplify right side
    15,115.62x = 165,457,358.64
  5. Step 5: Solve for x
    x = 165,457,358.64/15,115.62
  6. Step 6: Final answer
    x = 10,946.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.